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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find an equation for the nth term of the arithmetic sequence.
a16 = 21, a17 = -1
Solution:
It is given that,
a16 = 21, a17 = -1
So, common difference = d
d = a17 - a16
d = -1 - 21
d = -22
We know that the formula for nth term an = a1 + (n - 1)d
Substitute the value of n = 16, we get
a16 = a1 + (16 - 1)d
21 = a1 + 15(-22)
21 = a1 - 330
21 + 330 = a1
a1 = 351
Now nth term:
an = a1 + (n - 1)d
an = 351 + (n - 1)(-22)
an = 351 - 22(n - 1)
an = 351 + 22 - 22n
an = 373 - 22n
Therefore, an = 373 - 22n is an equation for the nth term of the arithmetic sequence.
Find an equation for the nth term of the arithmetic sequence.
a16 = 21, a17 = -1
Summary:
an = 373 - 22n is an equation for the nth term of the arithmetic sequence. a16 = 21, a17 = -1.
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